Quotients of CI-groups are CI-groups
Edward Dobson, Joy Morris
TL;DR
This paper proves that the property of being a CI-group with respect to (di)graphs is preserved under taking quotients, meaning quotient groups of such groups are also CI-groups.
Contribution
It establishes that quotients of CI-groups with respect to (di)graphs are themselves CI-groups, extending the understanding of the structure of CI-groups.
Findings
Quotients of CI-groups are CI-groups.
The property is preserved under group quotients.
Advances the theory of CI-groups in algebra and graph theory.
Abstract
We show that a quotient group of a CI-group with respect to (di)graphs is a CI-group with respect to (di)graphs.
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Taxonomy
TopicsFinite Group Theory Research · Coding theory and cryptography · Rings, Modules, and Algebras